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This article in SSSAJ

  1. Vol. 39 No. 3, p. 387-390
    Received: June 6, 1974
    Accepted: Jan 14, 1975

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Two-Dimensional Similarity Solution: Theory and Application to the Determination of Soil-Water Diffusivity1

  1. Neil C. Turner and
  2. Jean-Yves Parlange2



The Bruce and Klute methods (1956) to measure the soil-water diffusivity (D) relies on the existence of a similarity solution for the one-dimensional movement of water when the soil-water potential is maintained constant at one end of a horizontal column of soil. If the flux is kept constant along a line-source, a similarity solution exists also in two-dimensions and an exact equation for this case is derived:

where θo is the initial moisture content, θ is the moisture content after time, t, and ψ is the similarity variable.

The application of this equation in measuring the soil-water diffusivity of a sandy soil is shown.

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